You are done, your name will be the keyword linking to the website URL you submitted.

The number and the quality of the backlinks a website is getting are used by search engines to define the position of the website on search engine results pages, so the more quality backlinks your site has, the quicker it advances in SERPs.

Edu and .gov backlinks are seen as the highest quality ones, so evidently the more backlinks of these two types you get, the better for your website visibility. According to Prchecker.net

It’s that simple, just wait till Google recrawl the website and follow your link back to your blog and enjoy the ‘Link-juice’.